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Simplifying 2x + -4(x + 6) = 24(39) Reorder the terms: 2x + -4(6 + x) = 24(39) 2x + (6 * -4 + x * -4) = 24(39) 2x + (-24 + -4x) = 24(39) Reorder the terms: -24 + 2x + -4x = 24(39) Combine like terms: 2x + -4x = -2x -24 + -2x = 24(39) Multiply 24 * 39 -24 + -2x = 936 Solving -24 + -2x = 936 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -2x = 936 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 936 + 24 -2x = 936 + 24 Combine like terms: 936 + 24 = 960 -2x = 960 Divide each side by '-2'. x = -480 Simplifying x = -480
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